Abstract composition rule for relativistic kinetic energy in the thermodynamical limit

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Abstract

We demonstrate by simple mathematical considerations that a power-law-tailed distribution in the kinetic energy of relativistic particles can be a limiting distribution seen in relativistic heavy-ion experiments. We prove that the infinite repetition of an arbitrary composition rule on an infinitesimal amount leads to a rule with a formal logarithm. As a consequence the stationary distribution of energy in the thermodynamical limit follows the composed function of the Boltzmann-Gibbs exponential with this formal logarithm. In particular, interactions described as solely functions of the relative four-momentum squared lead to kinetic energy distributions of the Tsallis-Pareto (cut power law) form in the high-energy limit.

Original languageEnglish
Article number56003
JournalEPL
Volume84
Issue number5
DOIs
Publication statusPublished - Dec 1 2008

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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